0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d 0.14/0.34 % Computer : n014.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Wed Jul 1 17:16:40 EDT 2020 0.14/0.34 % CPUTime : 0.22/0.41 % (21397)lrs+1_1024_av=off:bs=on:fde=none:inw=on:irw=on:nm=64:nwc=1.2:stl=60:sp=reverse_arity:tha=off:urr=on:updr=off:uhcvi=on_595 on theBenchmark 0.22/0.41 % (21395)dis+11_3_add=off:afp=10000:afq=2.0:amm=sco:anc=none:ep=RST:gs=on:gsaa=from_current:gsem=on:inw=on:nm=64:nwc=1:sd=10:ss=axioms:st=5.0:sos=all:tha=off:updr=off:uhcvi=on_59 on theBenchmark 0.22/0.42 % (21401)dis+11_3_afr=on:afp=4000:afq=1.4:amm=off:anc=none:bd=preordered:bce=on:fsr=off:fde=none:gs=on:gsem=on:irw=on:lma=on:nm=6:nwc=1:sd=10:ss=axioms:st=5.0:sac=on:sp=occurrence:tha=off:urr=ec_only_85 on theBenchmark 0.22/0.42 % (21390)dis+11_4_afp=100000:afq=1.1:anc=none:cond=on:gs=on:gsaa=full_model:nm=64:nwc=1:sac=on:sp=reverse_arity:thi=all_2 on theBenchmark 0.22/0.43 % (21402)ott-11_3_add=large:afp=100000:afq=1.2:anc=none:bs=on:cond=fast:fde=none:gs=on:gsem=off:lma=on:lwlo=on:nm=64:newcnf=on:nwc=1:sos=all:sp=occurrence:tha=off:urr=on:uhcvi=on_268 on theBenchmark 0.22/0.43 % (21391)ott+1010_2:1_awrs=decay:awrsf=512:acc=on:add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:ccuc=first:fsr=off:fde=unused:gsp=input_only:gs=on:gsaa=from_current:irw=on:nm=32:newcnf=on:nwc=1:sos=theory:sp=occurrence:tha=some:uwa=interpreted_only:updr=off_8 on theBenchmark 0.22/0.45 % (21393)dis+10_5_add=off:afp=4000:afq=1.1:anc=none:cond=fast:ep=RSTC:fsr=off:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sp=reverse_arity:thi=all_3 on theBenchmark 0.22/0.45 % (21396)lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_2 on theBenchmark 0.22/0.46 % (21392)lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_2 on theBenchmark 0.22/0.46 % (21394)dis+10_1_add=off:afp=40000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:irw=on:nm=64:nwc=1:sas=z3:sac=on_2 on theBenchmark 0.22/0.47 % (21398)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_229 on theBenchmark 0.22/0.48 % (21399)dis+10_10_add=large:afp=4000:afq=1.1:amm=sco:anc=none:irw=on:lcm=reverse:lma=on:nm=6:nwc=1:sos=all:sac=on:sp=reverse_arity:urr=on_30 on theBenchmark 0.22/0.48 % (21400)ott-2_64_add=large:afr=on:afp=4000:afq=1.1:amm=sco:anc=none:bd=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:newcnf=on:nwc=1:sac=on:sp=occurrence:thf=on:updr=off:uhcvi=on_154 on theBenchmark 1.57/0.59 % (21396)Refutation found. Thanks to Tanya! 1.57/0.59 % SZS status Theorem for theBenchmark 1.57/0.59 % SZS output start Proof for theBenchmark 1.57/0.59 tff(func_def_4, type, sK0: $real > $real). 1.57/0.59 tff(pred_def_1, type, pow2: $real > $o). 1.57/0.59 tff(f670,plain,( 1.57/0.59 $false), 1.57/0.59 inference(avatar_sat_refutation,[],[f24,f29,f41,f53,f58,f60,f74,f86,f94,f99,f112,f117,f135,f147,f152,f165,f169,f180,f189,f197,f215,f219,f230,f239,f255,f267,f272,f294,f304,f318,f340,f355,f370,f385,f400,f405,f425,f435,f477,f481,f499,f512,f517,f525,f570,f579,f600,f605,f626,f642,f651,f664,f669])). 1.57/0.59 tff(f669,plain,( 1.57/0.59 ~spl1_82 | spl1_15 | ~spl1_17), 1.57/0.59 inference(avatar_split_clause,[],[f657,f149,f132,f666])). 1.57/0.59 tff(f666,plain,( 1.57/0.59 spl1_82 <=> $less(sK0(sK0(sK0(12.0))),2.0)), 1.57/0.59 introduced(avatar_definition,[new_symbols(naming,[spl1_82])])). 1.57/0.59 tff(f132,plain,( 1.57/0.59 spl1_15 <=> 1.0 = sK0(sK0(sK0(12.0)))), 1.57/0.59 introduced(avatar_definition,[new_symbols(naming,[spl1_15])])). 1.57/0.59 tff(f149,plain,( 1.57/0.59 spl1_17 <=> pow2(sK0(sK0(sK0(12.0))))), 1.57/0.59 introduced(avatar_definition,[new_symbols(naming,[spl1_17])])). 1.57/0.59 tff(f657,plain,( 1.57/0.59 ~$less(sK0(sK0(sK0(12.0))),2.0) | (spl1_15 | ~spl1_17)), 1.57/0.59 inference(unit_resulting_resolution,[],[f151,f133,f10])). 1.57/0.59 tff(f10,plain,( 1.57/0.59 ( ! [X0:$real] : (~$less(X0,2.0) | 1.0 = X0 | ~pow2(X0)) )), 1.57/0.59 inference(cnf_transformation,[],[f9])). 1.57/0.59 tff(f9,plain,( 1.57/0.59 pow2(12.0) & ! [X0 : $real] : ((pow2(X0) | (1.0 != X0 & (! [X1 : $real] : (~pow2(X1) | $product(2.0,X1) != X0) | $less(X0,2.0)))) & (1.0 = X0 | ((pow2(sK0(X0)) & $product(2.0,sK0(X0)) = X0) & ~$less(X0,2.0)) | ~pow2(X0)))), 1.57/0.59 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])). 1.57/0.59 tff(f8,plain,( 1.57/0.59 ! [X0 : $real] : (? [X2 : $real] : (pow2(X2) & $product(2.0,X2) = X0) => (pow2(sK0(X0)) & $product(2.0,sK0(X0)) = X0))), 1.57/0.59 introduced(choice_axiom,[])). 1.57/0.59 tff(f7,plain,( 1.57/0.59 pow2(12.0) & ! [X0 : $real] : ((pow2(X0) | (1.0 != X0 & (! [X1 : $real] : (~pow2(X1) | $product(2.0,X1) != X0) | $less(X0,2.0)))) & (1.0 = X0 | (? [X2 : $real] : (pow2(X2) & $product(2.0,X2) = X0) & ~$less(X0,2.0)) | ~pow2(X0)))), 1.57/0.59 inference(rectify,[],[f6])). 1.57/0.59 tff(f6,plain,( 1.57/0.59 pow2(12.0) & ! [X0 : $real] : ((pow2(X0) | (1.0 != X0 & (! [X1 : $real] : (~pow2(X1) | $product(2.0,X1) != X0) | $less(X0,2.0)))) & (1.0 = X0 | (? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & ~$less(X0,2.0)) | ~pow2(X0)))), 1.57/0.59 inference(flattening,[],[f5])). 1.57/0.59 tff(f5,plain,( 1.57/0.59 pow2(12.0) & ! [X0 : $real] : ((pow2(X0) | (1.0 != X0 & (! [X1 : $real] : (~pow2(X1) | $product(2.0,X1) != X0) | $less(X0,2.0)))) & ((1.0 = X0 | (? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & ~$less(X0,2.0))) | ~pow2(X0)))), 1.57/0.59 inference(nnf_transformation,[],[f4])). 1.57/0.59 tff(f4,plain,( 1.57/0.59 pow2(12.0) & ! [X0 : $real] : (pow2(X0) <=> (1.0 = X0 | (? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & ~$less(X0,2.0))))), 1.57/0.59 inference(ennf_transformation,[],[f3])). 1.57/0.59 tff(f3,plain,( 1.57/0.59 ~(! [X0 : $real] : (pow2(X0) <=> (1.0 = X0 | (? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & ~$less(X0,2.0)))) => ~pow2(12.0))), 1.57/0.59 inference(theory_normalization,[],[f2])). 1.57/0.59 tff(f2,negated_conjecture,( 1.57/0.59 ~(! [X0 : $real] : (pow2(X0) <=> (1.0 = X0 | (? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & $lesseq(2.0,X0)))) => ~pow2(12.0))), 1.57/0.59 inference(negated_conjecture,[],[f1])). 1.57/0.59 tff(f1,conjecture,( 1.57/0.59 ! [X0 : $real] : (pow2(X0) <=> (1.0 = X0 | (? [X1 : $real] : (pow2(X1) & $product(2.0,X1) = X0) & $lesseq(2.0,X0)))) => ~pow2(12.0)), 1.57/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_pow_of_2_10)). 1.57/0.61 tff(f133,plain,( 1.57/0.61 1.0 != sK0(sK0(sK0(12.0))) | spl1_15), 1.57/0.61 inference(avatar_component_clause,[],[f132])). 1.57/0.61 tff(f151,plain,( 1.57/0.61 pow2(sK0(sK0(sK0(12.0)))) | ~spl1_17), 1.57/0.61 inference(avatar_component_clause,[],[f149])). 1.57/0.61 tff(f664,plain,( 1.57/0.61 spl1_81 | spl1_15 | ~spl1_17), 1.57/0.61 inference(avatar_split_clause,[],[f658,f149,f132,f661])). 1.57/0.61 tff(f661,plain,( 1.57/0.61 spl1_81 <=> pow2(sK0(sK0(sK0(sK0(12.0)))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_81])])). 1.57/0.61 tff(f658,plain,( 1.57/0.61 pow2(sK0(sK0(sK0(sK0(12.0))))) | (spl1_15 | ~spl1_17)), 1.57/0.61 inference(unit_resulting_resolution,[],[f151,f133,f12])). 1.57/0.61 tff(f12,plain,( 1.57/0.61 ( ! [X0:$real] : (pow2(sK0(X0)) | 1.0 = X0 | ~pow2(X0)) )), 1.57/0.61 inference(cnf_transformation,[],[f9])). 1.57/0.61 tff(f651,plain,( 1.57/0.61 spl1_80 | ~spl1_4 | spl1_7 | ~spl1_8), 1.57/0.61 inference(avatar_split_clause,[],[f646,f79,f71,f47,f648])). 1.57/0.61 tff(f648,plain,( 1.57/0.61 spl1_80 <=> sK0(12.0) = $product(4.0,sK0(sK0(sK0(12.0))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_80])])). 1.57/0.61 tff(f47,plain,( 1.57/0.61 spl1_4 <=> pow2(sK0(12.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])). 1.57/0.61 tff(f71,plain,( 1.57/0.61 spl1_7 <=> 1.0 = sK0(12.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])). 1.57/0.61 tff(f79,plain,( 1.57/0.61 spl1_8 <=> sK0(sK0(12.0)) = $product(2.0,sK0(sK0(sK0(12.0))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])). 1.57/0.61 tff(f646,plain,( 1.57/0.61 sK0(12.0) = $product(4.0,sK0(sK0(sK0(12.0)))) | (~spl1_4 | spl1_7 | ~spl1_8)), 1.57/0.61 inference(evaluation,[],[f643])). 1.57/0.61 tff(f643,plain,( 1.57/0.61 sK0(12.0) = $product(2.0,$product(2.0,sK0(sK0(sK0(12.0))))) | (~spl1_4 | spl1_7 | ~spl1_8)), 1.57/0.61 inference(unit_resulting_resolution,[],[f48,f72,f81,f19])). 1.57/0.61 tff(f19,plain,( 1.57/0.61 ( ! [X0:$real,X1:$real] : (sK0(X0) != X1 | 1.0 = X0 | $product(2.0,X1) = X0 | ~pow2(X0)) )), 1.57/0.61 inference(theory_flattening,[],[f11])). 1.57/0.61 tff(f11,plain,( 1.57/0.61 ( ! [X0:$real] : (1.0 = X0 | $product(2.0,sK0(X0)) = X0 | ~pow2(X0)) )), 1.57/0.61 inference(cnf_transformation,[],[f9])). 1.57/0.61 tff(f81,plain,( 1.57/0.61 sK0(sK0(12.0)) = $product(2.0,sK0(sK0(sK0(12.0)))) | ~spl1_8), 1.57/0.61 inference(avatar_component_clause,[],[f79])). 1.57/0.61 tff(f72,plain,( 1.57/0.61 1.0 != sK0(12.0) | spl1_7), 1.57/0.61 inference(avatar_component_clause,[],[f71])). 1.57/0.61 tff(f48,plain,( 1.57/0.61 pow2(sK0(12.0)) | ~spl1_4), 1.57/0.61 inference(avatar_component_clause,[],[f47])). 1.57/0.61 tff(f642,plain,( 1.57/0.61 spl1_77 | spl1_78 | spl1_79 | ~spl1_31 | ~spl1_73 | spl1_74), 1.57/0.61 inference(avatar_split_clause,[],[f629,f602,f597,f248,f639,f635,f631])). 1.57/0.61 tff(f631,plain,( 1.57/0.61 spl1_77 <=> 1.0 = $product(4.0,sK0(sK0(sK0(24.0))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_77])])). 1.57/0.61 tff(f635,plain,( 1.57/0.61 spl1_78 <=> $less($product(4.0,sK0(sK0(sK0(24.0)))),2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_78])])). 1.57/0.61 tff(f639,plain,( 1.57/0.61 spl1_79 <=> $product(4.0,sK0(sK0(sK0(24.0)))) = $product(2.0,sK0($product(4.0,sK0(sK0(sK0(24.0))))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_79])])). 1.57/0.61 tff(f248,plain,( 1.57/0.61 spl1_31 <=> sK0(sK0(24.0)) = $product(2.0,sK0(sK0(sK0(24.0))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_31])])). 1.57/0.61 tff(f597,plain,( 1.57/0.61 spl1_73 <=> pow2(sK0(sK0(sK0(24.0))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_73])])). 1.57/0.61 tff(f602,plain,( 1.57/0.61 spl1_74 <=> $less(sK0(sK0(24.0)),2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_74])])). 1.57/0.61 tff(f629,plain,( 1.57/0.61 $product(4.0,sK0(sK0(sK0(24.0)))) = $product(2.0,sK0($product(4.0,sK0(sK0(sK0(24.0)))))) | $less($product(4.0,sK0(sK0(sK0(24.0)))),2.0) | 1.0 = $product(4.0,sK0(sK0(sK0(24.0)))) | (~spl1_31 | ~spl1_73 | spl1_74)), 1.57/0.61 inference(global_subsumption,[],[f604,f628])). 1.57/0.61 tff(f628,plain,( 1.57/0.61 $less(sK0(sK0(24.0)),2.0) | $product(4.0,sK0(sK0(sK0(24.0)))) = $product(2.0,sK0($product(4.0,sK0(sK0(sK0(24.0)))))) | $less($product(4.0,sK0(sK0(sK0(24.0)))),2.0) | 1.0 = $product(4.0,sK0(sK0(sK0(24.0)))) | (~spl1_31 | ~spl1_73)), 1.57/0.61 inference(forward_demodulation,[],[f612,f250])). 1.57/0.61 tff(f250,plain,( 1.57/0.61 sK0(sK0(24.0)) = $product(2.0,sK0(sK0(sK0(24.0)))) | ~spl1_31), 1.57/0.61 inference(avatar_component_clause,[],[f248])). 1.57/0.61 tff(f612,plain,( 1.57/0.61 $product(4.0,sK0(sK0(sK0(24.0)))) = $product(2.0,sK0($product(4.0,sK0(sK0(sK0(24.0)))))) | $less($product(4.0,sK0(sK0(sK0(24.0)))),2.0) | 1.0 = $product(4.0,sK0(sK0(sK0(24.0)))) | $less($product(2.0,sK0(sK0(sK0(24.0)))),2.0) | ~spl1_73), 1.57/0.61 inference(resolution,[],[f599,f107])). 1.57/0.61 tff(f107,plain,( 1.57/0.61 ( ! [X0:$real] : (~pow2(X0) | $product(4.0,X0) = $product(2.0,sK0($product(4.0,X0))) | $less($product(4.0,X0),2.0) | 1.0 = $product(4.0,X0) | $less($product(2.0,X0),2.0)) )), 1.57/0.61 inference(evaluation,[],[f100])). 1.57/0.61 tff(f100,plain,( 1.57/0.61 ( ! [X0:$real] : (1.0 = $product(2.0,$product(2.0,X0)) | $product(2.0,$product(2.0,X0)) = $product(2.0,sK0($product(2.0,$product(2.0,X0)))) | $less($product(2.0,$product(2.0,X0)),2.0) | ~pow2(X0) | $less($product(2.0,X0),2.0)) )), 1.57/0.61 inference(resolution,[],[f32,f30])). 1.57/0.61 tff(f30,plain,( 1.57/0.61 ( ! [X0:$real] : (pow2($product(2.0,X0)) | ~pow2(X0) | $less($product(2.0,X0),2.0)) )), 1.57/0.61 inference(equality_resolution,[],[f18])). 1.57/0.61 tff(f18,plain,( 1.57/0.61 ( ! [X2:$real,X1:$real] : ($product(2.0,X1) != X2 | pow2(X2) | ~pow2(X1) | $less($product(2.0,X1),2.0)) )), 1.57/0.61 inference(theory_flattening,[],[f17])). 1.57/0.61 tff(f17,plain,( 1.57/0.61 ( ! [X1:$real] : (pow2($product(2.0,X1)) | ~pow2(X1) | $less($product(2.0,X1),2.0)) )), 1.57/0.61 inference(equality_resolution,[],[f13])). 1.57/0.61 tff(f13,plain,( 1.57/0.61 ( ! [X0:$real,X1:$real] : (pow2(X0) | ~pow2(X1) | $product(2.0,X1) != X0 | $less(X0,2.0)) )), 1.57/0.61 inference(cnf_transformation,[],[f9])). 1.57/0.61 tff(f32,plain,( 1.57/0.61 ( ! [X0:$real] : (~pow2(X0) | 1.0 = $product(2.0,X0) | $product(2.0,X0) = $product(2.0,sK0($product(2.0,X0))) | $less($product(2.0,X0),2.0)) )), 1.57/0.61 inference(resolution,[],[f31,f30])). 1.57/0.61 tff(f31,plain,( 1.57/0.61 ( ! [X0:$real] : (~pow2(X0) | $product(2.0,sK0(X0)) = X0 | 1.0 = X0) )), 1.57/0.61 inference(equality_resolution,[],[f19])). 1.57/0.61 tff(f599,plain,( 1.57/0.61 pow2(sK0(sK0(sK0(24.0)))) | ~spl1_73), 1.57/0.61 inference(avatar_component_clause,[],[f597])). 1.57/0.61 tff(f604,plain,( 1.57/0.61 ~$less(sK0(sK0(24.0)),2.0) | spl1_74), 1.57/0.61 inference(avatar_component_clause,[],[f602])). 1.57/0.61 tff(f626,plain,( 1.57/0.61 spl1_75 | spl1_76 | spl1_37 | spl1_39 | ~spl1_73), 1.57/0.61 inference(avatar_split_clause,[],[f617,f597,f311,f297,f623,f619])). 1.57/0.61 tff(f619,plain,( 1.57/0.61 spl1_75 <=> 1.0 = sK0(sK0(sK0(sK0(sK0(24.0)))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_75])])). 1.57/0.61 tff(f623,plain,( 1.57/0.61 spl1_76 <=> sK0(sK0(sK0(sK0(sK0(24.0))))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(sK0(24.0)))))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_76])])). 1.57/0.61 tff(f297,plain,( 1.57/0.61 spl1_37 <=> 1.0 = sK0(sK0(sK0(24.0)))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_37])])). 1.57/0.61 tff(f311,plain,( 1.57/0.61 spl1_39 <=> 1.0 = sK0(sK0(sK0(sK0(24.0))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_39])])). 1.57/0.61 tff(f617,plain,( 1.57/0.61 sK0(sK0(sK0(sK0(sK0(24.0))))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(sK0(24.0))))))) | 1.0 = sK0(sK0(sK0(sK0(sK0(24.0))))) | (spl1_37 | spl1_39 | ~spl1_73)), 1.57/0.61 inference(global_subsumption,[],[f298,f312,f610])). 1.57/0.61 tff(f610,plain,( 1.57/0.61 1.0 = sK0(sK0(sK0(sK0(24.0)))) | sK0(sK0(sK0(sK0(sK0(24.0))))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(sK0(24.0))))))) | 1.0 = sK0(sK0(sK0(24.0))) | 1.0 = sK0(sK0(sK0(sK0(sK0(24.0))))) | ~spl1_73), 1.57/0.61 inference(resolution,[],[f599,f64])). 1.57/0.61 tff(f64,plain,( 1.57/0.61 ( ! [X1:$real] : (~pow2(X1) | 1.0 = sK0(X1) | sK0(sK0(X1)) = $product(2.0,sK0(sK0(sK0(X1)))) | 1.0 = X1 | 1.0 = sK0(sK0(X1))) )), 1.57/0.61 inference(resolution,[],[f35,f12])). 1.57/0.61 tff(f35,plain,( 1.57/0.61 ( ! [X1:$real] : (~pow2(X1) | 1.0 = sK0(X1) | 1.0 = X1 | sK0(X1) = $product(2.0,sK0(sK0(X1)))) )), 1.57/0.61 inference(resolution,[],[f31,f12])). 1.57/0.61 tff(f312,plain,( 1.57/0.61 1.0 != sK0(sK0(sK0(sK0(24.0)))) | spl1_39), 1.57/0.61 inference(avatar_component_clause,[],[f311])). 1.57/0.61 tff(f298,plain,( 1.57/0.61 1.0 != sK0(sK0(sK0(24.0))) | spl1_37), 1.57/0.61 inference(avatar_component_clause,[],[f297])). 1.57/0.61 tff(f605,plain,( 1.57/0.61 ~spl1_74 | spl1_32 | ~spl1_34), 1.57/0.61 inference(avatar_split_clause,[],[f593,f269,f252,f602])). 1.57/0.61 tff(f252,plain,( 1.57/0.61 spl1_32 <=> 1.0 = sK0(sK0(24.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_32])])). 1.57/0.61 tff(f269,plain,( 1.57/0.61 spl1_34 <=> pow2(sK0(sK0(24.0)))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_34])])). 1.57/0.61 tff(f593,plain,( 1.57/0.61 ~$less(sK0(sK0(24.0)),2.0) | (spl1_32 | ~spl1_34)), 1.57/0.61 inference(unit_resulting_resolution,[],[f271,f253,f10])). 1.57/0.61 tff(f253,plain,( 1.57/0.61 1.0 != sK0(sK0(24.0)) | spl1_32), 1.57/0.61 inference(avatar_component_clause,[],[f252])). 1.57/0.61 tff(f271,plain,( 1.57/0.61 pow2(sK0(sK0(24.0))) | ~spl1_34), 1.57/0.61 inference(avatar_component_clause,[],[f269])). 1.57/0.61 tff(f600,plain,( 1.57/0.61 spl1_73 | spl1_32 | ~spl1_34), 1.57/0.61 inference(avatar_split_clause,[],[f594,f269,f252,f597])). 1.57/0.61 tff(f594,plain,( 1.57/0.61 pow2(sK0(sK0(sK0(24.0)))) | (spl1_32 | ~spl1_34)), 1.57/0.61 inference(unit_resulting_resolution,[],[f271,f253,f12])). 1.57/0.61 tff(f579,plain,( 1.57/0.61 spl1_71 | spl1_72 | ~spl1_61), 1.57/0.61 inference(avatar_split_clause,[],[f542,f474,f576,f572])). 1.57/0.61 tff(f572,plain,( 1.57/0.61 spl1_71 <=> 1.0 = sK0(8.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_71])])). 1.57/0.61 tff(f576,plain,( 1.57/0.61 spl1_72 <=> sK0(8.0) = $product(2.0,sK0(sK0(8.0)))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_72])])). 1.57/0.61 tff(f474,plain,( 1.57/0.61 spl1_61 <=> pow2(4.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_61])])). 1.57/0.61 tff(f542,plain,( 1.57/0.61 sK0(8.0) = $product(2.0,sK0(sK0(8.0))) | 1.0 = sK0(8.0) | ~spl1_61), 1.57/0.61 inference(evaluation,[],[f541])). 1.57/0.61 tff(f541,plain,( 1.57/0.61 1.0 = $product(2.0,4.0) | sK0($product(2.0,4.0)) = $product(2.0,sK0(sK0($product(2.0,4.0)))) | 1.0 = sK0($product(2.0,4.0)) | $less($product(2.0,4.0),2.0) | ~spl1_61), 1.57/0.61 inference(resolution,[],[f61,f476])). 1.57/0.61 tff(f476,plain,( 1.57/0.61 pow2(4.0) | ~spl1_61), 1.57/0.61 inference(avatar_component_clause,[],[f474])). 1.57/0.61 tff(f61,plain,( 1.57/0.61 ( ! [X0:$real] : (~pow2(X0) | 1.0 = $product(2.0,X0) | sK0($product(2.0,X0)) = $product(2.0,sK0(sK0($product(2.0,X0)))) | 1.0 = sK0($product(2.0,X0)) | $less($product(2.0,X0),2.0)) )), 1.57/0.61 inference(resolution,[],[f35,f30])). 1.57/0.61 tff(f570,plain,( 1.57/0.61 spl1_69 | spl1_70 | ~spl1_26), 1.57/0.61 inference(avatar_split_clause,[],[f543,f212,f567,f563])). 1.57/0.61 tff(f563,plain,( 1.57/0.61 spl1_69 <=> 1.0 = sK0(48.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_69])])). 1.57/0.61 tff(f567,plain,( 1.57/0.61 spl1_70 <=> sK0(48.0) = $product(2.0,sK0(sK0(48.0)))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_70])])). 1.57/0.61 tff(f212,plain,( 1.57/0.61 spl1_26 <=> pow2(24.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_26])])). 1.57/0.61 tff(f543,plain,( 1.57/0.61 sK0(48.0) = $product(2.0,sK0(sK0(48.0))) | 1.0 = sK0(48.0) | ~spl1_26), 1.57/0.61 inference(evaluation,[],[f540])). 1.57/0.61 tff(f540,plain,( 1.57/0.61 1.0 = $product(2.0,24.0) | sK0($product(2.0,24.0)) = $product(2.0,sK0(sK0($product(2.0,24.0)))) | 1.0 = sK0($product(2.0,24.0)) | $less($product(2.0,24.0),2.0) | ~spl1_26), 1.57/0.61 inference(resolution,[],[f61,f214])). 1.57/0.61 tff(f214,plain,( 1.57/0.61 pow2(24.0) | ~spl1_26), 1.57/0.61 inference(avatar_component_clause,[],[f212])). 1.57/0.61 tff(f525,plain,( 1.57/0.61 spl1_68 | ~spl1_64 | ~spl1_67), 1.57/0.61 inference(avatar_split_clause,[],[f520,f514,f501,f522])). 1.57/0.61 tff(f522,plain,( 1.57/0.61 spl1_68 <=> 2.0 = sK0(4.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_68])])). 1.57/0.61 tff(f501,plain,( 1.57/0.61 spl1_64 <=> 1.0 = sK0(sK0(4.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_64])])). 1.57/0.61 tff(f514,plain,( 1.57/0.61 spl1_67 <=> sK0(4.0) = $product(2.0,sK0(sK0(4.0)))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_67])])). 1.57/0.61 tff(f520,plain,( 1.57/0.61 2.0 = sK0(4.0) | (~spl1_64 | ~spl1_67)), 1.57/0.61 inference(evaluation,[],[f519])). 1.57/0.61 tff(f519,plain,( 1.57/0.61 $product(2.0,1.0) = sK0(4.0) | (~spl1_64 | ~spl1_67)), 1.57/0.61 inference(backward_demodulation,[],[f516,f503])). 1.57/0.61 tff(f503,plain,( 1.57/0.61 1.0 = sK0(sK0(4.0)) | ~spl1_64), 1.57/0.61 inference(avatar_component_clause,[],[f501])). 1.57/0.61 tff(f516,plain,( 1.57/0.61 sK0(4.0) = $product(2.0,sK0(sK0(4.0))) | ~spl1_67), 1.57/0.61 inference(avatar_component_clause,[],[f514])). 1.57/0.61 tff(f517,plain,( 1.57/0.61 spl1_67 | spl1_66 | ~spl1_61), 1.57/0.61 inference(avatar_split_clause,[],[f489,f474,f509,f514])). 1.57/0.61 tff(f509,plain,( 1.57/0.61 spl1_66 <=> 1.0 = sK0(4.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_66])])). 1.57/0.61 tff(f489,plain,( 1.57/0.61 1.0 = sK0(4.0) | sK0(4.0) = $product(2.0,sK0(sK0(4.0))) | ~spl1_61), 1.57/0.61 inference(evaluation,[],[f486])). 1.57/0.61 tff(f486,plain,( 1.57/0.61 1.0 = sK0(4.0) | 1.0 = 4.0 | sK0(4.0) = $product(2.0,sK0(sK0(4.0))) | ~spl1_61), 1.57/0.61 inference(resolution,[],[f476,f35])). 1.57/0.61 tff(f512,plain,( 1.57/0.61 spl1_64 | spl1_65 | spl1_66 | ~spl1_61), 1.57/0.61 inference(avatar_split_clause,[],[f491,f474,f509,f505,f501])). 1.57/0.61 tff(f505,plain,( 1.57/0.61 spl1_65 <=> sK0(sK0(4.0)) = $product(2.0,sK0(sK0(sK0(4.0))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_65])])). 1.57/0.61 tff(f491,plain,( 1.57/0.61 1.0 = sK0(4.0) | sK0(sK0(4.0)) = $product(2.0,sK0(sK0(sK0(4.0)))) | 1.0 = sK0(sK0(4.0)) | ~spl1_61), 1.57/0.61 inference(evaluation,[],[f484])). 1.57/0.61 tff(f484,plain,( 1.57/0.61 1.0 = sK0(4.0) | sK0(sK0(4.0)) = $product(2.0,sK0(sK0(sK0(4.0)))) | 1.0 = 4.0 | 1.0 = sK0(sK0(4.0)) | ~spl1_61), 1.57/0.61 inference(resolution,[],[f476,f64])). 1.57/0.61 tff(f499,plain,( 1.57/0.61 spl1_63 | ~spl1_61), 1.57/0.61 inference(avatar_split_clause,[],[f492,f474,f496])). 1.57/0.61 tff(f496,plain,( 1.57/0.61 spl1_63 <=> 16.0 = $product(2.0,sK0(16.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_63])])). 1.57/0.61 tff(f492,plain,( 1.57/0.61 16.0 = $product(2.0,sK0(16.0)) | ~spl1_61), 1.57/0.61 inference(evaluation,[],[f483])). 1.57/0.61 tff(f483,plain,( 1.57/0.61 $product(4.0,4.0) = $product(2.0,sK0($product(4.0,4.0))) | $less($product(4.0,4.0),2.0) | 1.0 = $product(4.0,4.0) | $less($product(2.0,4.0),2.0) | ~spl1_61), 1.57/0.61 inference(resolution,[],[f476,f107])). 1.57/0.61 tff(f481,plain,( 1.57/0.61 ~spl1_60 | spl1_62 | ~spl1_21), 1.57/0.61 inference(avatar_split_clause,[],[f467,f177,f479,f470])). 1.57/0.61 tff(f470,plain,( 1.57/0.61 spl1_60 <=> pow2(sK0(4.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_60])])). 1.57/0.61 tff(f479,plain,( 1.57/0.61 spl1_62 <=> ! [X0 : $real] : (4.0 != X0 | pow2(X0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_62])])). 1.57/0.61 tff(f177,plain,( 1.57/0.61 spl1_21 <=> 4.0 = $product(2.0,sK0(4.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_21])])). 1.57/0.61 tff(f467,plain,( 1.57/0.61 ( ! [X0:$real] : (4.0 != X0 | pow2(X0) | ~pow2(sK0(4.0))) ) | ~spl1_21), 1.57/0.61 inference(evaluation,[],[f466])). 1.57/0.61 tff(f466,plain,( 1.57/0.61 ( ! [X0:$real] : (4.0 != X0 | pow2(X0) | ~pow2(sK0(4.0)) | $less(4.0,2.0)) ) | ~spl1_21), 1.57/0.61 inference(superposition,[],[f18,f179])). 1.57/0.61 tff(f179,plain,( 1.57/0.61 4.0 = $product(2.0,sK0(4.0)) | ~spl1_21), 1.57/0.61 inference(avatar_component_clause,[],[f177])). 1.57/0.61 tff(f477,plain,( 1.57/0.61 ~spl1_60 | spl1_61 | ~spl1_21), 1.57/0.61 inference(avatar_split_clause,[],[f468,f177,f474,f470])). 1.57/0.61 tff(f468,plain,( 1.57/0.61 pow2(4.0) | ~pow2(sK0(4.0)) | ~spl1_21), 1.57/0.61 inference(evaluation,[],[f465])). 1.57/0.61 tff(f465,plain,( 1.57/0.61 pow2(4.0) | ~pow2(sK0(4.0)) | $less(4.0,2.0) | ~spl1_21), 1.57/0.61 inference(superposition,[],[f30,f179])). 1.57/0.61 tff(f435,plain,( 1.57/0.61 spl1_58 | spl1_59 | spl1_15 | ~spl1_17 | spl1_35), 1.57/0.61 inference(avatar_split_clause,[],[f426,f287,f149,f132,f432,f428])). 1.57/0.61 tff(f428,plain,( 1.57/0.61 spl1_58 <=> 1.0 = sK0(sK0(sK0(sK0(sK0(12.0)))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_58])])). 1.57/0.61 tff(f432,plain,( 1.57/0.61 spl1_59 <=> sK0(sK0(sK0(sK0(sK0(12.0))))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(sK0(12.0)))))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_59])])). 1.57/0.61 tff(f287,plain,( 1.57/0.61 spl1_35 <=> 1.0 = sK0(sK0(sK0(sK0(12.0))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_35])])). 1.57/0.61 tff(f426,plain,( 1.57/0.61 sK0(sK0(sK0(sK0(sK0(12.0))))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(sK0(12.0))))))) | 1.0 = sK0(sK0(sK0(sK0(sK0(12.0))))) | (spl1_15 | ~spl1_17 | spl1_35)), 1.57/0.61 inference(global_subsumption,[],[f133,f288,f407])). 1.57/0.61 tff(f407,plain,( 1.57/0.61 1.0 = sK0(sK0(sK0(sK0(12.0)))) | sK0(sK0(sK0(sK0(sK0(12.0))))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(sK0(12.0))))))) | 1.0 = sK0(sK0(sK0(12.0))) | 1.0 = sK0(sK0(sK0(sK0(sK0(12.0))))) | ~spl1_17), 1.57/0.61 inference(resolution,[],[f151,f64])). 1.57/0.61 tff(f288,plain,( 1.57/0.61 1.0 != sK0(sK0(sK0(sK0(12.0)))) | spl1_35), 1.57/0.61 inference(avatar_component_clause,[],[f287])). 1.57/0.61 tff(f425,plain,( 1.57/0.61 spl1_55 | spl1_56 | spl1_57 | ~spl1_8 | spl1_16 | ~spl1_17), 1.57/0.61 inference(avatar_split_clause,[],[f412,f149,f144,f79,f422,f418,f414])). 1.57/0.61 tff(f414,plain,( 1.57/0.61 spl1_55 <=> 1.0 = $product(4.0,sK0(sK0(sK0(12.0))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_55])])). 1.57/0.61 tff(f418,plain,( 1.57/0.61 spl1_56 <=> $less($product(4.0,sK0(sK0(sK0(12.0)))),2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_56])])). 1.57/0.61 tff(f422,plain,( 1.57/0.61 spl1_57 <=> $product(4.0,sK0(sK0(sK0(12.0)))) = $product(2.0,sK0($product(4.0,sK0(sK0(sK0(12.0))))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_57])])). 1.57/0.61 tff(f144,plain,( 1.57/0.61 spl1_16 <=> $less(sK0(sK0(12.0)),2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])). 1.57/0.61 tff(f412,plain,( 1.57/0.61 $product(4.0,sK0(sK0(sK0(12.0)))) = $product(2.0,sK0($product(4.0,sK0(sK0(sK0(12.0)))))) | $less($product(4.0,sK0(sK0(sK0(12.0)))),2.0) | 1.0 = $product(4.0,sK0(sK0(sK0(12.0)))) | (~spl1_8 | spl1_16 | ~spl1_17)), 1.57/0.61 inference(global_subsumption,[],[f146,f411])). 1.57/0.61 tff(f411,plain,( 1.57/0.61 $less(sK0(sK0(12.0)),2.0) | $product(4.0,sK0(sK0(sK0(12.0)))) = $product(2.0,sK0($product(4.0,sK0(sK0(sK0(12.0)))))) | $less($product(4.0,sK0(sK0(sK0(12.0)))),2.0) | 1.0 = $product(4.0,sK0(sK0(sK0(12.0)))) | (~spl1_8 | ~spl1_17)), 1.57/0.61 inference(forward_demodulation,[],[f406,f81])). 1.57/0.61 tff(f406,plain,( 1.57/0.61 $product(4.0,sK0(sK0(sK0(12.0)))) = $product(2.0,sK0($product(4.0,sK0(sK0(sK0(12.0)))))) | $less($product(4.0,sK0(sK0(sK0(12.0)))),2.0) | 1.0 = $product(4.0,sK0(sK0(sK0(12.0)))) | $less($product(2.0,sK0(sK0(sK0(12.0)))),2.0) | ~spl1_17), 1.57/0.61 inference(resolution,[],[f151,f107])). 1.57/0.61 tff(f146,plain,( 1.57/0.61 ~$less(sK0(sK0(12.0)),2.0) | spl1_16), 1.57/0.61 inference(avatar_component_clause,[],[f144])). 1.57/0.61 tff(f405,plain,( 1.57/0.61 spl1_54 | ~spl1_26), 1.57/0.61 inference(avatar_split_clause,[],[f331,f212,f402])). 1.57/0.61 tff(f402,plain,( 1.57/0.61 spl1_54 <=> 96.0 = $product(2.0,sK0(96.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_54])])). 1.57/0.61 tff(f331,plain,( 1.57/0.61 96.0 = $product(2.0,sK0(96.0)) | ~spl1_26), 1.57/0.61 inference(evaluation,[],[f330])). 1.57/0.61 tff(f330,plain,( 1.57/0.61 $product(4.0,24.0) = $product(2.0,sK0($product(4.0,24.0))) | $less($product(4.0,24.0),2.0) | 1.0 = $product(4.0,24.0) | $less($product(2.0,24.0),2.0) | ~spl1_26), 1.57/0.61 inference(resolution,[],[f107,f214])). 1.57/0.61 tff(f400,plain,( 1.57/0.61 spl1_51 | spl1_52 | spl1_53 | ~spl1_13 | ~spl1_25), 1.57/0.61 inference(avatar_split_clause,[],[f387,f208,f114,f397,f393,f389])). 1.57/0.61 tff(f389,plain,( 1.57/0.61 spl1_51 <=> 1.0 = $product(4.0,sK0(24.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_51])])). 1.57/0.61 tff(f393,plain,( 1.57/0.61 spl1_52 <=> $less($product(4.0,sK0(24.0)),2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_52])])). 1.57/0.61 tff(f397,plain,( 1.57/0.61 spl1_53 <=> $product(4.0,sK0(24.0)) = $product(2.0,sK0($product(4.0,sK0(24.0))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_53])])). 1.57/0.61 tff(f114,plain,( 1.57/0.61 spl1_13 <=> 24.0 = $product(2.0,sK0(24.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_13])])). 1.57/0.61 tff(f208,plain,( 1.57/0.61 spl1_25 <=> pow2(sK0(24.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_25])])). 1.57/0.61 tff(f387,plain,( 1.57/0.61 $product(4.0,sK0(24.0)) = $product(2.0,sK0($product(4.0,sK0(24.0)))) | $less($product(4.0,sK0(24.0)),2.0) | 1.0 = $product(4.0,sK0(24.0)) | (~spl1_13 | ~spl1_25)), 1.57/0.61 inference(evaluation,[],[f386])). 1.57/0.61 tff(f386,plain,( 1.57/0.61 $less(24.0,2.0) | $product(4.0,sK0(24.0)) = $product(2.0,sK0($product(4.0,sK0(24.0)))) | $less($product(4.0,sK0(24.0)),2.0) | 1.0 = $product(4.0,sK0(24.0)) | (~spl1_13 | ~spl1_25)), 1.57/0.61 inference(forward_demodulation,[],[f329,f116])). 1.57/0.61 tff(f116,plain,( 1.57/0.61 24.0 = $product(2.0,sK0(24.0)) | ~spl1_13), 1.57/0.61 inference(avatar_component_clause,[],[f114])). 1.57/0.61 tff(f329,plain,( 1.57/0.61 $product(4.0,sK0(24.0)) = $product(2.0,sK0($product(4.0,sK0(24.0)))) | $less($product(4.0,sK0(24.0)),2.0) | 1.0 = $product(4.0,sK0(24.0)) | $less($product(2.0,sK0(24.0)),2.0) | ~spl1_25), 1.57/0.61 inference(resolution,[],[f107,f209])). 1.57/0.61 tff(f209,plain,( 1.57/0.61 pow2(sK0(24.0)) | ~spl1_25), 1.57/0.61 inference(avatar_component_clause,[],[f208])). 1.57/0.61 tff(f385,plain,( 1.57/0.61 spl1_48 | spl1_49 | spl1_50 | ~spl1_29 | spl1_33 | ~spl1_34), 1.57/0.61 inference(avatar_split_clause,[],[f372,f269,f264,f232,f382,f378,f374])). 1.57/0.61 tff(f374,plain,( 1.57/0.61 spl1_48 <=> 1.0 = $product(4.0,sK0(sK0(24.0)))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_48])])). 1.57/0.61 tff(f378,plain,( 1.57/0.61 spl1_49 <=> $less($product(4.0,sK0(sK0(24.0))),2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_49])])). 1.57/0.61 tff(f382,plain,( 1.57/0.61 spl1_50 <=> $product(4.0,sK0(sK0(24.0))) = $product(2.0,sK0($product(4.0,sK0(sK0(24.0)))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_50])])). 1.57/0.61 tff(f232,plain,( 1.57/0.61 spl1_29 <=> sK0(24.0) = $product(2.0,sK0(sK0(24.0)))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_29])])). 1.57/0.61 tff(f264,plain,( 1.57/0.61 spl1_33 <=> $less(sK0(24.0),2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_33])])). 1.57/0.61 tff(f372,plain,( 1.57/0.61 $product(4.0,sK0(sK0(24.0))) = $product(2.0,sK0($product(4.0,sK0(sK0(24.0))))) | $less($product(4.0,sK0(sK0(24.0))),2.0) | 1.0 = $product(4.0,sK0(sK0(24.0))) | (~spl1_29 | spl1_33 | ~spl1_34)), 1.57/0.61 inference(global_subsumption,[],[f266,f371])). 1.57/0.61 tff(f371,plain,( 1.57/0.61 $less(sK0(24.0),2.0) | $product(4.0,sK0(sK0(24.0))) = $product(2.0,sK0($product(4.0,sK0(sK0(24.0))))) | $less($product(4.0,sK0(sK0(24.0))),2.0) | 1.0 = $product(4.0,sK0(sK0(24.0))) | (~spl1_29 | ~spl1_34)), 1.57/0.61 inference(forward_demodulation,[],[f328,f234])). 1.57/0.61 tff(f234,plain,( 1.57/0.61 sK0(24.0) = $product(2.0,sK0(sK0(24.0))) | ~spl1_29), 1.57/0.61 inference(avatar_component_clause,[],[f232])). 1.57/0.61 tff(f328,plain,( 1.57/0.61 $product(4.0,sK0(sK0(24.0))) = $product(2.0,sK0($product(4.0,sK0(sK0(24.0))))) | $less($product(4.0,sK0(sK0(24.0))),2.0) | 1.0 = $product(4.0,sK0(sK0(24.0))) | $less($product(2.0,sK0(sK0(24.0))),2.0) | ~spl1_34), 1.57/0.61 inference(resolution,[],[f107,f271])). 1.57/0.61 tff(f266,plain,( 1.57/0.61 ~$less(sK0(24.0),2.0) | spl1_33), 1.57/0.61 inference(avatar_component_clause,[],[f264])). 1.57/0.61 tff(f370,plain,( 1.57/0.61 spl1_45 | spl1_46 | spl1_47 | ~spl1_6 | spl1_10 | ~spl1_11), 1.57/0.61 inference(avatar_split_clause,[],[f357,f96,f91,f67,f367,f363,f359])). 1.57/0.61 tff(f359,plain,( 1.57/0.61 spl1_45 <=> 1.0 = $product(4.0,sK0(sK0(12.0)))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_45])])). 1.57/0.61 tff(f363,plain,( 1.57/0.61 spl1_46 <=> $less($product(4.0,sK0(sK0(12.0))),2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_46])])). 1.57/0.61 tff(f367,plain,( 1.57/0.61 spl1_47 <=> $product(4.0,sK0(sK0(12.0))) = $product(2.0,sK0($product(4.0,sK0(sK0(12.0)))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_47])])). 1.57/0.61 tff(f67,plain,( 1.57/0.61 spl1_6 <=> sK0(12.0) = $product(2.0,sK0(sK0(12.0)))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])). 1.57/0.61 tff(f91,plain,( 1.57/0.61 spl1_10 <=> $less(sK0(12.0),2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])). 1.57/0.61 tff(f96,plain,( 1.57/0.61 spl1_11 <=> pow2(sK0(sK0(12.0)))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])). 1.57/0.61 tff(f357,plain,( 1.57/0.61 $product(4.0,sK0(sK0(12.0))) = $product(2.0,sK0($product(4.0,sK0(sK0(12.0))))) | $less($product(4.0,sK0(sK0(12.0))),2.0) | 1.0 = $product(4.0,sK0(sK0(12.0))) | (~spl1_6 | spl1_10 | ~spl1_11)), 1.57/0.61 inference(global_subsumption,[],[f93,f356])). 1.57/0.61 tff(f356,plain,( 1.57/0.61 $less(sK0(12.0),2.0) | $product(4.0,sK0(sK0(12.0))) = $product(2.0,sK0($product(4.0,sK0(sK0(12.0))))) | $less($product(4.0,sK0(sK0(12.0))),2.0) | 1.0 = $product(4.0,sK0(sK0(12.0))) | (~spl1_6 | ~spl1_11)), 1.57/0.61 inference(forward_demodulation,[],[f327,f69])). 1.57/0.61 tff(f69,plain,( 1.57/0.61 sK0(12.0) = $product(2.0,sK0(sK0(12.0))) | ~spl1_6), 1.57/0.61 inference(avatar_component_clause,[],[f67])). 1.57/0.61 tff(f327,plain,( 1.57/0.61 $product(4.0,sK0(sK0(12.0))) = $product(2.0,sK0($product(4.0,sK0(sK0(12.0))))) | $less($product(4.0,sK0(sK0(12.0))),2.0) | 1.0 = $product(4.0,sK0(sK0(12.0))) | $less($product(2.0,sK0(sK0(12.0))),2.0) | ~spl1_11), 1.57/0.61 inference(resolution,[],[f107,f98])). 1.57/0.61 tff(f98,plain,( 1.57/0.61 pow2(sK0(sK0(12.0))) | ~spl1_11), 1.57/0.61 inference(avatar_component_clause,[],[f96])). 1.57/0.61 tff(f93,plain,( 1.57/0.61 ~$less(sK0(12.0),2.0) | spl1_10), 1.57/0.61 inference(avatar_component_clause,[],[f91])). 1.57/0.61 tff(f355,plain,( 1.57/0.61 spl1_42 | spl1_43 | spl1_44 | ~spl1_3 | ~spl1_4), 1.57/0.61 inference(avatar_split_clause,[],[f342,f47,f38,f352,f348,f344])). 1.57/0.61 tff(f344,plain,( 1.57/0.61 spl1_42 <=> 1.0 = $product(4.0,sK0(12.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_42])])). 1.57/0.61 tff(f348,plain,( 1.57/0.61 spl1_43 <=> $less($product(4.0,sK0(12.0)),2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_43])])). 1.57/0.61 tff(f352,plain,( 1.57/0.61 spl1_44 <=> $product(4.0,sK0(12.0)) = $product(2.0,sK0($product(4.0,sK0(12.0))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_44])])). 1.57/0.61 tff(f38,plain,( 1.57/0.61 spl1_3 <=> 12.0 = $product(2.0,sK0(12.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])). 1.57/0.61 tff(f342,plain,( 1.57/0.61 $product(4.0,sK0(12.0)) = $product(2.0,sK0($product(4.0,sK0(12.0)))) | $less($product(4.0,sK0(12.0)),2.0) | 1.0 = $product(4.0,sK0(12.0)) | (~spl1_3 | ~spl1_4)), 1.57/0.61 inference(evaluation,[],[f341])). 1.57/0.61 tff(f341,plain,( 1.57/0.61 $less(12.0,2.0) | $product(4.0,sK0(12.0)) = $product(2.0,sK0($product(4.0,sK0(12.0)))) | $less($product(4.0,sK0(12.0)),2.0) | 1.0 = $product(4.0,sK0(12.0)) | (~spl1_3 | ~spl1_4)), 1.57/0.61 inference(forward_demodulation,[],[f326,f40])). 1.57/0.61 tff(f40,plain,( 1.57/0.61 12.0 = $product(2.0,sK0(12.0)) | ~spl1_3), 1.57/0.61 inference(avatar_component_clause,[],[f38])). 1.57/0.61 tff(f326,plain,( 1.57/0.61 $product(4.0,sK0(12.0)) = $product(2.0,sK0($product(4.0,sK0(12.0)))) | $less($product(4.0,sK0(12.0)),2.0) | 1.0 = $product(4.0,sK0(12.0)) | $less($product(2.0,sK0(12.0)),2.0) | ~spl1_4), 1.57/0.61 inference(resolution,[],[f107,f48])). 1.57/0.61 tff(f340,plain,( 1.57/0.61 spl1_41 | ~spl1_19), 1.57/0.61 inference(avatar_split_clause,[],[f335,f162,f337])). 1.57/0.61 tff(f337,plain,( 1.57/0.61 spl1_41 <=> 8.0 = $product(2.0,sK0(8.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_41])])). 1.57/0.61 tff(f162,plain,( 1.57/0.61 spl1_19 <=> pow2(2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_19])])). 1.57/0.61 tff(f335,plain,( 1.57/0.61 8.0 = $product(2.0,sK0(8.0)) | ~spl1_19), 1.57/0.61 inference(evaluation,[],[f321])). 1.57/0.61 tff(f321,plain,( 1.57/0.61 $product(4.0,2.0) = $product(2.0,sK0($product(4.0,2.0))) | $less($product(4.0,2.0),2.0) | 1.0 = $product(4.0,2.0) | $less($product(2.0,2.0),2.0) | ~spl1_19), 1.57/0.61 inference(resolution,[],[f107,f164])). 1.57/0.61 tff(f164,plain,( 1.57/0.61 pow2(2.0) | ~spl1_19), 1.57/0.61 inference(avatar_component_clause,[],[f162])). 1.57/0.61 tff(f318,plain,( 1.57/0.61 spl1_39 | spl1_40 | spl1_32 | ~spl1_34 | spl1_37), 1.57/0.61 inference(avatar_split_clause,[],[f309,f297,f269,f252,f315,f311])). 1.57/0.61 tff(f315,plain,( 1.57/0.61 spl1_40 <=> sK0(sK0(sK0(sK0(24.0)))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(24.0))))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_40])])). 1.57/0.61 tff(f309,plain,( 1.57/0.61 sK0(sK0(sK0(sK0(24.0)))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(24.0)))))) | 1.0 = sK0(sK0(sK0(sK0(24.0)))) | (spl1_32 | ~spl1_34 | spl1_37)), 1.57/0.61 inference(global_subsumption,[],[f253,f298,f305])). 1.57/0.61 tff(f305,plain,( 1.57/0.61 1.0 = sK0(sK0(sK0(24.0))) | sK0(sK0(sK0(sK0(24.0)))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(24.0)))))) | 1.0 = sK0(sK0(24.0)) | 1.0 = sK0(sK0(sK0(sK0(24.0)))) | ~spl1_34), 1.57/0.61 inference(resolution,[],[f271,f64])). 1.57/0.61 tff(f304,plain,( 1.57/0.61 spl1_37 | spl1_38 | ~spl1_25 | spl1_30 | spl1_32), 1.57/0.61 inference(avatar_split_clause,[],[f295,f252,f236,f208,f301,f297])). 1.57/0.61 tff(f301,plain,( 1.57/0.61 spl1_38 <=> sK0(sK0(sK0(24.0))) = $product(2.0,sK0(sK0(sK0(sK0(24.0)))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_38])])). 1.57/0.61 tff(f236,plain,( 1.57/0.61 spl1_30 <=> 1.0 = sK0(24.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_30])])). 1.57/0.61 tff(f295,plain,( 1.57/0.61 sK0(sK0(sK0(24.0))) = $product(2.0,sK0(sK0(sK0(sK0(24.0))))) | 1.0 = sK0(sK0(sK0(24.0))) | (~spl1_25 | spl1_30 | spl1_32)), 1.57/0.61 inference(global_subsumption,[],[f237,f253,f280])). 1.57/0.61 tff(f280,plain,( 1.57/0.61 1.0 = sK0(sK0(24.0)) | sK0(sK0(sK0(24.0))) = $product(2.0,sK0(sK0(sK0(sK0(24.0))))) | 1.0 = sK0(24.0) | 1.0 = sK0(sK0(sK0(24.0))) | ~spl1_25), 1.57/0.61 inference(resolution,[],[f64,f209])). 1.57/0.61 tff(f237,plain,( 1.57/0.61 1.0 != sK0(24.0) | spl1_30), 1.57/0.61 inference(avatar_component_clause,[],[f236])). 1.57/0.61 tff(f294,plain,( 1.57/0.61 spl1_35 | spl1_36 | spl1_9 | ~spl1_11 | spl1_15), 1.57/0.61 inference(avatar_split_clause,[],[f285,f132,f96,f83,f291,f287])). 1.57/0.61 tff(f291,plain,( 1.57/0.61 spl1_36 <=> sK0(sK0(sK0(sK0(12.0)))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(12.0))))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_36])])). 1.57/0.61 tff(f83,plain,( 1.57/0.61 spl1_9 <=> 1.0 = sK0(sK0(12.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])). 1.57/0.61 tff(f285,plain,( 1.57/0.61 sK0(sK0(sK0(sK0(12.0)))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(12.0)))))) | 1.0 = sK0(sK0(sK0(sK0(12.0)))) | (spl1_9 | ~spl1_11 | spl1_15)), 1.57/0.61 inference(global_subsumption,[],[f84,f133,f279])). 1.57/0.61 tff(f279,plain,( 1.57/0.61 1.0 = sK0(sK0(sK0(12.0))) | sK0(sK0(sK0(sK0(12.0)))) = $product(2.0,sK0(sK0(sK0(sK0(sK0(12.0)))))) | 1.0 = sK0(sK0(12.0)) | 1.0 = sK0(sK0(sK0(sK0(12.0)))) | ~spl1_11), 1.57/0.61 inference(resolution,[],[f64,f98])). 1.57/0.61 tff(f84,plain,( 1.57/0.61 1.0 != sK0(sK0(12.0)) | spl1_9), 1.57/0.61 inference(avatar_component_clause,[],[f83])). 1.57/0.61 tff(f272,plain,( 1.57/0.61 spl1_34 | ~spl1_25 | spl1_30), 1.57/0.61 inference(avatar_split_clause,[],[f261,f236,f208,f269])). 1.57/0.61 tff(f261,plain,( 1.57/0.61 pow2(sK0(sK0(24.0))) | (~spl1_25 | spl1_30)), 1.57/0.61 inference(unit_resulting_resolution,[],[f209,f237,f12])). 1.57/0.61 tff(f267,plain,( 1.57/0.61 ~spl1_33 | ~spl1_25 | spl1_30), 1.57/0.61 inference(avatar_split_clause,[],[f262,f236,f208,f264])). 1.57/0.61 tff(f262,plain,( 1.57/0.61 ~$less(sK0(24.0),2.0) | (~spl1_25 | spl1_30)), 1.57/0.61 inference(unit_resulting_resolution,[],[f209,f237,f10])). 1.57/0.61 tff(f255,plain,( 1.57/0.61 spl1_31 | spl1_32 | ~spl1_25 | spl1_30), 1.57/0.61 inference(avatar_split_clause,[],[f246,f236,f208,f252,f248])). 1.57/0.61 tff(f246,plain,( 1.57/0.61 1.0 = sK0(sK0(24.0)) | sK0(sK0(24.0)) = $product(2.0,sK0(sK0(sK0(24.0)))) | (~spl1_25 | spl1_30)), 1.57/0.61 inference(global_subsumption,[],[f237,f241])). 1.57/0.61 tff(f241,plain,( 1.57/0.61 1.0 = sK0(sK0(24.0)) | 1.0 = sK0(24.0) | sK0(sK0(24.0)) = $product(2.0,sK0(sK0(sK0(24.0)))) | ~spl1_25), 1.57/0.61 inference(resolution,[],[f209,f35])). 1.57/0.61 tff(f239,plain,( 1.57/0.61 spl1_29 | spl1_30 | ~spl1_26), 1.57/0.61 inference(avatar_split_clause,[],[f224,f212,f236,f232])). 1.57/0.61 tff(f224,plain,( 1.57/0.61 1.0 = sK0(24.0) | sK0(24.0) = $product(2.0,sK0(sK0(24.0))) | ~spl1_26), 1.57/0.61 inference(evaluation,[],[f221])). 1.57/0.61 tff(f221,plain,( 1.57/0.61 1.0 = sK0(24.0) | 1.0 = 24.0 | sK0(24.0) = $product(2.0,sK0(sK0(24.0))) | ~spl1_26), 1.57/0.61 inference(resolution,[],[f214,f35])). 1.57/0.61 tff(f230,plain,( 1.57/0.61 spl1_28 | ~spl1_26), 1.57/0.61 inference(avatar_split_clause,[],[f225,f212,f227])). 1.57/0.61 tff(f227,plain,( 1.57/0.61 spl1_28 <=> 48.0 = $product(2.0,sK0(48.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_28])])). 1.57/0.61 tff(f225,plain,( 1.57/0.61 48.0 = $product(2.0,sK0(48.0)) | ~spl1_26), 1.57/0.61 inference(evaluation,[],[f220])). 1.57/0.61 tff(f220,plain,( 1.57/0.61 1.0 = $product(2.0,24.0) | $product(2.0,24.0) = $product(2.0,sK0($product(2.0,24.0))) | $less($product(2.0,24.0),2.0) | ~spl1_26), 1.57/0.61 inference(resolution,[],[f214,f32])). 1.57/0.61 tff(f219,plain,( 1.57/0.61 ~spl1_25 | spl1_27 | ~spl1_13), 1.57/0.61 inference(avatar_split_clause,[],[f205,f114,f217,f208])). 1.57/0.61 tff(f217,plain,( 1.57/0.61 spl1_27 <=> ! [X0 : $real] : (24.0 != X0 | pow2(X0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_27])])). 1.57/0.61 tff(f205,plain,( 1.57/0.61 ( ! [X0:$real] : (24.0 != X0 | pow2(X0) | ~pow2(sK0(24.0))) ) | ~spl1_13), 1.57/0.61 inference(evaluation,[],[f204])). 1.57/0.61 tff(f204,plain,( 1.57/0.61 ( ! [X0:$real] : (24.0 != X0 | pow2(X0) | ~pow2(sK0(24.0)) | $less(24.0,2.0)) ) | ~spl1_13), 1.57/0.61 inference(superposition,[],[f18,f116])). 1.57/0.61 tff(f215,plain,( 1.57/0.61 ~spl1_25 | spl1_26 | ~spl1_13), 1.57/0.61 inference(avatar_split_clause,[],[f206,f114,f212,f208])). 1.57/0.61 tff(f206,plain,( 1.57/0.61 pow2(24.0) | ~pow2(sK0(24.0)) | ~spl1_13), 1.57/0.61 inference(evaluation,[],[f203])). 1.57/0.61 tff(f203,plain,( 1.57/0.61 pow2(24.0) | ~pow2(sK0(24.0)) | $less(24.0,2.0) | ~spl1_13), 1.57/0.61 inference(superposition,[],[f30,f116])). 1.57/0.61 tff(f197,plain,( 1.57/0.61 ~spl1_24 | spl1_22 | ~spl1_23), 1.57/0.61 inference(avatar_split_clause,[],[f192,f186,f182,f194])). 1.57/0.61 tff(f194,plain,( 1.57/0.61 spl1_24 <=> 1.0 = $product(2.0,sK0(1.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_24])])). 1.57/0.61 tff(f182,plain,( 1.57/0.61 spl1_22 <=> sK0(2.0) = $product(2.0,sK0(sK0(2.0)))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_22])])). 1.57/0.61 tff(f186,plain,( 1.57/0.61 spl1_23 <=> 1.0 = sK0(2.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_23])])). 1.57/0.61 tff(f192,plain,( 1.57/0.61 1.0 != $product(2.0,sK0(1.0)) | (spl1_22 | ~spl1_23)), 1.57/0.61 inference(forward_demodulation,[],[f183,f188])). 1.57/0.61 tff(f188,plain,( 1.57/0.61 1.0 = sK0(2.0) | ~spl1_23), 1.57/0.61 inference(avatar_component_clause,[],[f186])). 1.57/0.61 tff(f183,plain,( 1.57/0.61 sK0(2.0) != $product(2.0,sK0(sK0(2.0))) | spl1_22), 1.57/0.61 inference(avatar_component_clause,[],[f182])). 1.57/0.61 tff(f189,plain,( 1.57/0.61 spl1_22 | spl1_23 | ~spl1_19), 1.57/0.61 inference(avatar_split_clause,[],[f174,f162,f186,f182])). 1.57/0.61 tff(f174,plain,( 1.57/0.61 1.0 = sK0(2.0) | sK0(2.0) = $product(2.0,sK0(sK0(2.0))) | ~spl1_19), 1.57/0.61 inference(evaluation,[],[f171])). 1.57/0.61 tff(f171,plain,( 1.57/0.61 1.0 = sK0(2.0) | 2.0 = 1.0 | sK0(2.0) = $product(2.0,sK0(sK0(2.0))) | ~spl1_19), 1.57/0.61 inference(resolution,[],[f164,f35])). 1.57/0.61 tff(f180,plain,( 1.57/0.61 spl1_21 | ~spl1_19), 1.57/0.61 inference(avatar_split_clause,[],[f175,f162,f177])). 1.57/0.61 tff(f175,plain,( 1.57/0.61 4.0 = $product(2.0,sK0(4.0)) | ~spl1_19), 1.57/0.61 inference(evaluation,[],[f170])). 1.57/0.61 tff(f170,plain,( 1.57/0.61 1.0 = $product(2.0,2.0) | $product(2.0,2.0) = $product(2.0,sK0($product(2.0,2.0))) | $less($product(2.0,2.0),2.0) | ~spl1_19), 1.57/0.61 inference(resolution,[],[f164,f32])). 1.57/0.61 tff(f169,plain,( 1.57/0.61 ~spl1_18 | spl1_20 | ~spl1_12), 1.57/0.61 inference(avatar_split_clause,[],[f155,f109,f167,f158])). 1.57/0.61 tff(f158,plain,( 1.57/0.61 spl1_18 <=> pow2(sK0(2.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_18])])). 1.57/0.61 tff(f167,plain,( 1.57/0.61 spl1_20 <=> ! [X0 : $real] : (2.0 != X0 | pow2(X0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_20])])). 1.57/0.61 tff(f109,plain,( 1.57/0.61 spl1_12 <=> 2.0 = $product(2.0,sK0(2.0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])). 1.57/0.61 tff(f155,plain,( 1.57/0.61 ( ! [X0:$real] : (2.0 != X0 | pow2(X0) | ~pow2(sK0(2.0))) ) | ~spl1_12), 1.57/0.61 inference(evaluation,[],[f154])). 1.57/0.61 tff(f154,plain,( 1.57/0.61 ( ! [X0:$real] : (2.0 != X0 | pow2(X0) | ~pow2(sK0(2.0)) | $less(2.0,2.0)) ) | ~spl1_12), 1.57/0.61 inference(superposition,[],[f18,f111])). 1.57/0.61 tff(f111,plain,( 1.57/0.61 2.0 = $product(2.0,sK0(2.0)) | ~spl1_12), 1.57/0.61 inference(avatar_component_clause,[],[f109])). 1.57/0.61 tff(f165,plain,( 1.57/0.61 ~spl1_18 | spl1_19 | ~spl1_12), 1.57/0.61 inference(avatar_split_clause,[],[f156,f109,f162,f158])). 1.57/0.61 tff(f156,plain,( 1.57/0.61 pow2(2.0) | ~pow2(sK0(2.0)) | ~spl1_12), 1.57/0.61 inference(evaluation,[],[f153])). 1.57/0.61 tff(f153,plain,( 1.57/0.61 pow2(2.0) | ~pow2(sK0(2.0)) | $less(2.0,2.0) | ~spl1_12), 1.57/0.61 inference(superposition,[],[f30,f111])). 1.57/0.61 tff(f152,plain,( 1.57/0.61 spl1_17 | spl1_9 | ~spl1_11), 1.57/0.61 inference(avatar_split_clause,[],[f141,f96,f83,f149])). 1.57/0.61 tff(f141,plain,( 1.57/0.61 pow2(sK0(sK0(sK0(12.0)))) | (spl1_9 | ~spl1_11)), 1.57/0.61 inference(unit_resulting_resolution,[],[f98,f84,f12])). 1.57/0.61 tff(f147,plain,( 1.57/0.61 ~spl1_16 | spl1_9 | ~spl1_11), 1.57/0.61 inference(avatar_split_clause,[],[f142,f96,f83,f144])). 1.57/0.61 tff(f142,plain,( 1.57/0.61 ~$less(sK0(sK0(12.0)),2.0) | (spl1_9 | ~spl1_11)), 1.57/0.61 inference(unit_resulting_resolution,[],[f98,f84,f10])). 1.57/0.61 tff(f135,plain,( 1.57/0.61 spl1_14 | spl1_15 | spl1_9 | ~spl1_11), 1.57/0.61 inference(avatar_split_clause,[],[f126,f96,f83,f132,f128])). 1.57/0.61 tff(f128,plain,( 1.57/0.61 spl1_14 <=> sK0(sK0(sK0(12.0))) = $product(2.0,sK0(sK0(sK0(sK0(12.0)))))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])). 1.57/0.61 tff(f126,plain,( 1.57/0.61 1.0 = sK0(sK0(sK0(12.0))) | sK0(sK0(sK0(12.0))) = $product(2.0,sK0(sK0(sK0(sK0(12.0))))) | (spl1_9 | ~spl1_11)), 1.57/0.61 inference(global_subsumption,[],[f84,f122])). 1.57/0.61 tff(f122,plain,( 1.57/0.61 1.0 = sK0(sK0(sK0(12.0))) | 1.0 = sK0(sK0(12.0)) | sK0(sK0(sK0(12.0))) = $product(2.0,sK0(sK0(sK0(sK0(12.0))))) | ~spl1_11), 1.57/0.61 inference(resolution,[],[f98,f35])). 1.57/0.61 tff(f117,plain,( 1.57/0.61 spl1_13 | ~spl1_1), 1.57/0.61 inference(avatar_split_clause,[],[f105,f21,f114])). 1.57/0.61 tff(f21,plain,( 1.57/0.61 spl1_1 <=> pow2(12.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])). 1.57/0.61 tff(f105,plain,( 1.57/0.61 24.0 = $product(2.0,sK0(24.0)) | ~spl1_1), 1.57/0.61 inference(evaluation,[],[f102])). 1.57/0.61 tff(f102,plain,( 1.57/0.61 1.0 = $product(2.0,12.0) | $product(2.0,12.0) = $product(2.0,sK0($product(2.0,12.0))) | $less($product(2.0,12.0),2.0) | ~spl1_1), 1.57/0.61 inference(resolution,[],[f32,f23])). 1.57/0.61 tff(f23,plain,( 1.57/0.61 pow2(12.0) | ~spl1_1), 1.57/0.61 inference(avatar_component_clause,[],[f21])). 1.57/0.61 tff(f112,plain,( 1.57/0.61 spl1_12 | ~spl1_2), 1.57/0.61 inference(avatar_split_clause,[],[f106,f26,f109])). 1.57/0.61 tff(f26,plain,( 1.57/0.61 spl1_2 <=> pow2(1.0)), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])). 1.57/0.61 tff(f106,plain,( 1.57/0.61 2.0 = $product(2.0,sK0(2.0)) | ~spl1_2), 1.57/0.61 inference(evaluation,[],[f101])). 1.57/0.61 tff(f101,plain,( 1.57/0.61 1.0 = $product(2.0,1.0) | $product(2.0,1.0) = $product(2.0,sK0($product(2.0,1.0))) | $less($product(2.0,1.0),2.0) | ~spl1_2), 1.57/0.61 inference(resolution,[],[f32,f28])). 1.57/0.61 tff(f28,plain,( 1.57/0.61 pow2(1.0) | ~spl1_2), 1.57/0.61 inference(avatar_component_clause,[],[f26])). 1.57/0.61 tff(f99,plain,( 1.57/0.61 spl1_11 | ~spl1_4 | spl1_7), 1.57/0.61 inference(avatar_split_clause,[],[f88,f71,f47,f96])). 1.57/0.61 tff(f88,plain,( 1.57/0.61 pow2(sK0(sK0(12.0))) | (~spl1_4 | spl1_7)), 1.57/0.61 inference(unit_resulting_resolution,[],[f48,f72,f12])). 1.57/0.61 tff(f94,plain,( 1.57/0.61 ~spl1_10 | ~spl1_4 | spl1_7), 1.57/0.61 inference(avatar_split_clause,[],[f89,f71,f47,f91])). 1.57/0.61 tff(f89,plain,( 1.57/0.61 ~$less(sK0(12.0),2.0) | (~spl1_4 | spl1_7)), 1.57/0.61 inference(unit_resulting_resolution,[],[f48,f72,f10])). 1.57/0.61 tff(f86,plain,( 1.57/0.61 spl1_8 | spl1_9 | ~spl1_4 | spl1_7), 1.57/0.61 inference(avatar_split_clause,[],[f77,f71,f47,f83,f79])). 1.57/0.61 tff(f77,plain,( 1.57/0.61 1.0 = sK0(sK0(12.0)) | sK0(sK0(12.0)) = $product(2.0,sK0(sK0(sK0(12.0)))) | (~spl1_4 | spl1_7)), 1.57/0.61 inference(global_subsumption,[],[f72,f75])). 1.57/0.61 tff(f75,plain,( 1.57/0.61 1.0 = sK0(sK0(12.0)) | 1.0 = sK0(12.0) | sK0(sK0(12.0)) = $product(2.0,sK0(sK0(sK0(12.0)))) | ~spl1_4), 1.57/0.61 inference(resolution,[],[f48,f35])). 1.57/0.61 tff(f74,plain,( 1.57/0.61 spl1_6 | spl1_7 | ~spl1_1), 1.57/0.61 inference(avatar_split_clause,[],[f65,f21,f71,f67])). 1.57/0.61 tff(f65,plain,( 1.57/0.61 1.0 = sK0(12.0) | sK0(12.0) = $product(2.0,sK0(sK0(12.0))) | ~spl1_1), 1.57/0.61 inference(evaluation,[],[f63])). 1.57/0.61 tff(f63,plain,( 1.57/0.61 1.0 = sK0(12.0) | 1.0 = 12.0 | sK0(12.0) = $product(2.0,sK0(sK0(12.0))) | ~spl1_1), 1.57/0.61 inference(resolution,[],[f35,f23])). 1.57/0.61 tff(f60,plain,( 1.57/0.61 spl1_4), 1.57/0.61 inference(avatar_contradiction_clause,[],[f59])). 1.57/0.61 tff(f59,plain,( 1.57/0.61 $false | spl1_4), 1.57/0.61 inference(global_subsumption,[],[f15,f56])). 1.57/0.61 tff(f56,plain,( 1.57/0.61 ~pow2(12.0) | spl1_4), 1.57/0.61 inference(evaluation,[],[f55])). 1.57/0.61 tff(f55,plain,( 1.57/0.61 1.0 = 12.0 | ~pow2(12.0) | spl1_4), 1.57/0.61 inference(resolution,[],[f49,f12])). 1.57/0.61 tff(f49,plain,( 1.57/0.61 ~pow2(sK0(12.0)) | spl1_4), 1.57/0.61 inference(avatar_component_clause,[],[f47])). 1.57/0.61 tff(f15,plain,( 1.57/0.61 pow2(12.0)), 1.57/0.61 inference(cnf_transformation,[],[f9])). 1.57/0.61 tff(f58,plain,( 1.57/0.61 ~spl1_1 | spl1_4), 1.57/0.61 inference(avatar_contradiction_clause,[],[f57])). 1.57/0.61 tff(f57,plain,( 1.57/0.61 $false | (~spl1_1 | spl1_4)), 1.57/0.61 inference(evaluation,[],[f54])). 1.57/0.61 tff(f54,plain,( 1.57/0.61 1.0 = 12.0 | (~spl1_1 | spl1_4)), 1.57/0.61 inference(unit_resulting_resolution,[],[f23,f49,f12])). 1.57/0.61 tff(f53,plain,( 1.57/0.61 ~spl1_4 | spl1_5 | ~spl1_3), 1.57/0.61 inference(avatar_split_clause,[],[f44,f38,f51,f47])). 1.57/0.61 tff(f51,plain,( 1.57/0.61 spl1_5 <=> ! [X0 : $real] : (12.0 != X0 | pow2(X0))), 1.57/0.61 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])). 1.57/0.61 tff(f44,plain,( 1.57/0.61 ( ! [X0:$real] : (12.0 != X0 | pow2(X0) | ~pow2(sK0(12.0))) ) | ~spl1_3), 1.57/0.61 inference(evaluation,[],[f43])). 1.57/0.61 tff(f43,plain,( 1.57/0.61 ( ! [X0:$real] : (12.0 != X0 | pow2(X0) | ~pow2(sK0(12.0)) | $less(12.0,2.0)) ) | ~spl1_3), 1.57/0.61 inference(superposition,[],[f18,f40])). 1.57/0.61 tff(f41,plain,( 1.57/0.61 spl1_3 | ~spl1_1), 1.57/0.61 inference(avatar_split_clause,[],[f36,f21,f38])). 1.57/0.61 tff(f36,plain,( 1.57/0.61 12.0 = $product(2.0,sK0(12.0)) | ~spl1_1), 1.57/0.61 inference(evaluation,[],[f34])). 1.57/0.61 tff(f34,plain,( 1.57/0.61 12.0 = $product(2.0,sK0(12.0)) | 1.0 = 12.0 | ~spl1_1), 1.57/0.61 inference(resolution,[],[f31,f23])). 1.57/0.61 tff(f29,plain,( 1.57/0.61 spl1_2), 1.57/0.61 inference(avatar_split_clause,[],[f16,f26])). 1.57/0.61 tff(f16,plain,( 1.57/0.61 pow2(1.0)), 1.57/0.61 inference(equality_resolution,[],[f14])). 1.57/0.61 tff(f14,plain,( 1.57/0.61 ( ! [X0:$real] : (pow2(X0) | 1.0 != X0) )), 1.57/0.61 inference(cnf_transformation,[],[f9])). 1.57/0.61 tff(f24,plain,( 1.57/0.61 spl1_1), 1.57/0.61 inference(avatar_split_clause,[],[f15,f21])). 1.57/0.61 % SZS output end Proof for theBenchmark 1.57/0.61 % (21396)------------------------------ 1.57/0.61 % (21396)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.57/0.61 % (21396)Termination reason: Refutation 1.57/0.61 1.57/0.61 % (21396)Memory used [KB]: 6396 1.57/0.61 % (21396)Time elapsed: 0.163 s 1.57/0.61 % (21396)------------------------------ 1.57/0.61 % (21396)------------------------------ 1.57/0.61 % (21389)Success in time 0.258 s 1.57/0.62 EOF